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Organized Collapse: An Introduction to Discrete Morse Theory, Dmitry N. Kozlov


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Цена: 74410.00T
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Автор: Dmitry N. Kozlov
Название:  Organized Collapse: An Introduction to Discrete Morse Theory
ISBN: 9781470464554
Издательство: Mare Nostrum (Eurospan)
Классификация:



ISBN-10: 1470464551
Обложка/Формат: Paperback
Страницы: 312
Вес: 0.60 кг.
Дата издания: 30.04.2021
Серия: Graduate studies in mathematics
Язык: English
Размер: 180 x 254 x 23
Читательская аудитория: Professional and scholarly
Ключевые слова: Algebra,Algebraic geometry,Geometry,Topology
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Поставляется из: Англии
Описание: Applied topology is a modern subject which emerged in recent years at a crossroads of many methods, all of them topological in nature, which were used in a wide variety of applications in classical mathematics and beyond. Within applied topology, discrete Morse theory came into light as one of the main tools to understand cell complexes arising in different contexts, as well as to reduce the complexity of homology calculations.The present book provides a gentle introduction into this beautiful theory. Using a combinatorial approach—the author emphasizes acyclic matchings as the central object of study. The first two parts of the book can be used as a stand-alone introduction to homology, the last two parts delve into the core of discrete Morse theory. The presentation is broad, ranging from abstract topics, such as formulation of the entire theory using poset maps with small fibers, to heavily computational aspects, providing, for example, a specific algorithm of finding an explicit homology basis starting from an acyclic matching.The book will be appreciated by graduate students in applied topology, students and specialists in computer science and engineering, as well as research mathematicians interested in learning about the subject and applying it in context of their fields.
Дополнительное описание: Geometry|Topology|Algebra|Algebraic geometry


Introduction to Political Psychology

Автор: Cottam Martha L.
Название: Introduction to Political Psychology
ISBN: 1848726724 ISBN-13(EAN): 9781848726727
Издательство: Taylor&Francis
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Цена: 68390.00 T
Наличие на складе: Нет в наличии.
Описание: This comprehensive, user-friendly introductory textbook to political psychology explores the psychological origins of political behavior. The authors introduce readers to a broad range of theories, concepts, and case studies of political activity to illustrate that behavior. The book examines many patterns of political behaviors, including leadership, group behavior, voting, media effects, race, ethnicity, nationalism, social movements, terrorism, war, and genocide. It explores some of the most horrific things people do to each other, as well as how to prevent and resolve conflict – and how to recover from it. The book contains numerous features to enhance understanding, including text boxes highlighting current and historical events to help students see the connection between the world around them and the concepts they are learning. Different research methodologies used in the discipline are employed, such as experimentation and content analysis. The third edition of the book has two new chapters, one on the media, and one on social movements. This accessible and engaging introductory textbook is suitable as a primary text on a range of upper-level courses in political psychology, political behavior, and related fields, including policymaking.

Introduction to manifolds

Автор: Tu, Loring W.
Название: Introduction to manifolds
ISBN: 1441973990 ISBN-13(EAN): 9781441973993
Издательство: Springer
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Цена: 46570.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory.

Introduction to Vassiliev Knot Invariants

Автор: Chmutov
Название: Introduction to Vassiliev Knot Invariants
ISBN: 1107020832 ISBN-13(EAN): 9781107020832
Издательство: Cambridge Academ
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Цена: 53960.00 T
Наличие на складе: Есть
Описание: This detailed exposition of a relatively recent development in knot theory, namely, the theory of Vassiliev knot invariants, is intended to serve both as a textbook for readers with little background in this area, and as a guide to some of the more advanced material.

Introduction to Analytic Number Theory

Автор: Apostol Tom M
Название: Introduction to Analytic Number Theory
ISBN: 1441928057 ISBN-13(EAN): 9781441928054
Издательство: Springer
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Цена: 49330.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: "This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory.

An Introduction to Vectors, Vector Operators and Vector Analysis

Автор: Joag
Название: An Introduction to Vectors, Vector Operators and Vector Analysis
ISBN: 110715443X ISBN-13(EAN): 9781107154438
Издательство: Cambridge Academ
Рейтинг:
Цена: 65460.00 T
Наличие на складе: Поставка под заказ.
Описание: This book covers the fundamental topics and tools involved in conceptualizing vectors and their applications in the fields of engineering and sciences in a lucid manner. The text includes important topics such as transformation groups, groups of isometries and the Euler group, with applications to rigid displacements.

Introduction to symplectic topology

Автор: Mcduff, Dusa Salamon, Dietmar
Название: Introduction to symplectic topology
ISBN: 0198794908 ISBN-13(EAN): 9780198794905
Издательство: Oxford Academ
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Цена: 70750.00 T
Наличие на складе: Поставка под заказ.
Описание: Over the last number of years powerful new methods in analysis and topology have led to the development of the modern global theory of symplectic topology, including several striking and important results. This new third edition of a classic book in the feild includes updates and new material to bring the material right up-to-date.

Organized Collapse: An Introduction to Discrete Morse Theory

Автор: Dmitry N. Kozlov
Название: Organized Collapse: An Introduction to Discrete Morse Theory
ISBN: 1470457016 ISBN-13(EAN): 9781470457013
Издательство: Mare Nostrum (Eurospan)
Рейтинг:
Цена: 85010.00 T
Наличие на складе: Поставка под заказ.
Описание: Applied topology is a modern subject which emerged in recent years at a crossroads of many methods, all of them topological in nature, which were used in a wide variety of applications in classical mathematics and beyond. Within applied topology, discrete Morse theory came into light as one of the main tools to understand cell complexes arising in different contexts, as well as to reduce the complexity of homology calculations.

The present book provides a gentle introduction into this beautiful theory. Using a combinatorial approach, the author emphasizes acyclic matchings as the central object of study. The first two parts of the book can be used as a stand-alone introduction to homology, the last two parts delve into the core of discrete Morse theory. The presentation is broad, ranging from abstract topics, such as formulation of the entire theory using poset maps with small fibers, to heavily computational aspects, providing, for example, a specific algorithm of finding an explicit homology basis starting from an acyclic matching.

The book will be appreciated by graduate students in applied topology, students and specialists in computer science and engineering, as well as research mathematicians interested in learning about the subject and applying it in context of their fields.

Modular Forms: A Classical and Computational Introduction: 2nd Edition

Автор: Kilford Lloyd J. P.
Название: Modular Forms: A Classical and Computational Introduction: 2nd Edition
ISBN: 1783265450 ISBN-13(EAN): 9781783265459
Издательство: World Scientific Publishing
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Цена: 68640.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Modular Forms is a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms, including modular functions and the theory of Hecke operators.

Introduction to Random Graphs

Автор: Frieze
Название: Introduction to Random Graphs
ISBN: 1107118506 ISBN-13(EAN): 9781107118508
Издательство: Cambridge Academ
Рейтинг:
Цена: 66530.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book covers random graphs from the basic to the advanced and will appeal to anyone interested in combinatorics, applied probability or theoretical computer science. Having read this book, the reader should be in a good position to pursue research in the area.

Abstract Algebra: Introduction to Groups, Rings and Fields with Applications (Second Edition)

Автор: Reis Clive, Rankin Stuart A.
Название: Abstract Algebra: Introduction to Groups, Rings and Fields with Applications (Second Edition)
ISBN: 9814730548 ISBN-13(EAN): 9789814730549
Издательство: World Scientific Publishing
Цена: 59130.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

This second edition covers essentially the same topics as the first. However, the presentation of the material has been extensively revised and improved. In addition, there are two new chapters, one dealing with the fundamental theorem of finitely generated abelian groups and the other a brief introduction to semigroup theory and automata.

This book is appropriate for second to fourth year undergraduates. In addition to the material traditionally taught at this level, the book contains several applications: Polya-Burnside Enumeration, Mutually Orthogonal Latin Squares, Error-Correcting Codes, and a classification of the finite groups of isometries of the plane and the finite rotation groups in Euclidean 3-space, semigroups and automata. It is hoped that these applications will help the reader achieve a better grasp of the rather abstract ideas presented and convince him/her that pure mathematics, in addition to having an austere beauty of its own, can be applied to solving practical problems.

Considerable emphasis is placed on the algebraic system consisting of the congruence classes mod n under the usual operations of addition and multiplication. The reader is thus introduced -- via congruence classes -- to the idea of cosets and factor groups. This enables the transition to cosets and factor objects to be relatively painless.

In this book, cosets, factor objects and homomorphisms are introduced early on so that the reader has at his/her disposal the tools required to give elegant proofs of the fundamental theorems. Moreover, homomorphisms play such a prominent role in algebra that they are used in this text wherever possible.


Abstract Algebra: Introduction to Groups, Rings and Fields with Applications (Second Edition)

Автор: Reis Clive, Rankin Stuart A.
Название: Abstract Algebra: Introduction to Groups, Rings and Fields with Applications (Second Edition)
ISBN: 981473053X ISBN-13(EAN): 9789814730532
Издательство: World Scientific Publishing
Цена: 129890.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

This second edition covers essentially the same topics as the first. However, the presentation of the material has been extensively revised and improved. In addition, there are two new chapters, one dealing with the fundamental theorem of finitely generated abelian groups and the other a brief introduction to semigroup theory and automata.

This book is appropriate for second to fourth year undergraduates. In addition to the material traditionally taught at this level, the book contains several applications: Polya-Burnside Enumeration, Mutually Orthogonal Latin Squares, Error-Correcting Codes, and a classification of the finite groups of isometries of the plane and the finite rotation groups in Euclidean 3-space, semigroups and automata. It is hoped that these applications will help the reader achieve a better grasp of the rather abstract ideas presented and convince him/her that pure mathematics, in addition to having an austere beauty of its own, can be applied to solving practical problems.

Considerable emphasis is placed on the algebraic system consisting of the congruence classes mod n under the usual operations of addition and multiplication. The reader is thus introduced -- via congruence classes -- to the idea of cosets and factor groups. This enables the transition to cosets and factor objects to be relatively painless.

In this book, cosets, factor objects and homomorphisms are introduced early on so that the reader has at his/her disposal the tools required to give elegant proofs of the fundamental theorems. Moreover, homomorphisms play such a prominent role in algebra that they are used in this text wherever possible.


Topological Dynamical Systems: An Introduction to the Dynamics of Continuous Mappings

Автор: Jan Vries
Название: Topological Dynamical Systems: An Introduction to the Dynamics of Continuous Mappings
ISBN: 3110340739 ISBN-13(EAN): 9783110340730
Издательство: Walter de Gruyter
Цена: 148700.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This book fills this gap: it deals with this theory as 'applied general topology'. We treat all important concepts needed to understand recent literature. The book is addressed primarily to graduate students. The prerequisites for understanding this book are modest: a certain mathematical maturity and course in General Topology are sufficient.


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